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Simplifying 0.75(12y + 8) + -3(4y + 7) = 0 Reorder the terms: 0.75(8 + 12y) + -3(4y + 7) = 0 (8 * 0.75 + 12y * 0.75) + -3(4y + 7) = 0 (6 + 9y) + -3(4y + 7) = 0 Reorder the terms: 6 + 9y + -3(7 + 4y) = 0 6 + 9y + (7 * -3 + 4y * -3) = 0 6 + 9y + (-21 + -12y) = 0 Reorder the terms: 6 + -21 + 9y + -12y = 0 Combine like terms: 6 + -21 = -15 -15 + 9y + -12y = 0 Combine like terms: 9y + -12y = -3y -15 + -3y = 0 Solving -15 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -3y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3y = 0 + 15 -3y = 0 + 15 Combine like terms: 0 + 15 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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